Answer:
We use students' t distribution therefore degrees of freedom is v= n-2
Step-by-step explanation:
Confidence Interval Estimate of Population Regression Co efficient β.
To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.
t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]
with v= n-2 degrees of freedom.
Consequently
P [ - t α/2< b - β/Sb < t α/2] = 1- α
or
P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α
Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by
b± t α/2 Sb
Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.
a± t α/2 Sa
Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner
Y~0 ± t α/2(n-2) SY~
Y~0= a+b X0
we need help . we think we got it but were not sure
Answer:
your right
Step-by-step explanation:
Solve for u: 2(u + 6) - 8 > 3(u - 5)
Answer:
19
Step-by-step explanation:
First get rid of the brackets:
[tex]2u + 12 - 8 > 3u - 15[/tex]
Then simplify:
[tex]2u + 4 > 3u - 15[/tex]
Get all the u's on one side:
[tex]2u - 3u > - 15 - 4[/tex]
Simplify and find u:
[tex] - u > - 19[/tex]
[tex]u < 19[/tex]
HELPPPPPP ILL GIVE BRAINLIEST!!!!
Answer: a
Step-by-step explanation:
a temperature of 0 degrees Celsius:
a temperature of 8.5 degrees Celsius above zero:
a temperature of 7 degrees Celsius below zero:
100 points
Answer:
mark on the 0, on the 7, and half way past 8
hope this helps, pls give brainliest
Step-by-step explanation:
16/30=20/x what is x?
Answer: 75/2
Step-by-step explanation: Math
Answer:
75/2
Step-by-step explanation:
16/30=20/x
Cross multiply
16*x=(20)*(30)
16x=600
Divide both sides by 16.
16x /16 = 600 /16
x=75/2
I hope it's right
The rabbit population in a certain area is 200% of last year's population. There are 300 rabbits this year. How many were there last year?
Answer:
There were 650 rabbits last year
The percentage of a quantity can be found by first changing the percent into a fraction and then multiplying it to the value of that quantity. Last year the number of rabbits was 150.
What is percentage?A percentage is a value that indicates the hundredth part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The population of rabbit this year is 300.
The percentage of the population with respect to the last year is 200%.
Suppose the population of rabbits last year was P.
Then as per the question, following expression can be written,
200% of N = 300
⇒ (200 / 100) × N = 300
⇒ 2N = 300
⇒ N = 150
Hence, the population of the rabbits last year was 150.
To know more about percentage click on,
brainly.com/question/29306119
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What are the values of x and y in the following system of equations?
[tex]x+y=15[/tex]
[tex]y-x=5[/tex]
Step-by-step explanation:
By elimination method,
x+y=15
-x+y=5
------------
2y=20
i.e y=10
Now,
x+y=15
or, x+10=15
or, x=5
A customer service center receives about 10 emails every half-hour.
What is the probability that the customer service center receives exactly 5 emails in the next six minutes?
(Hint: Find the average number of emails in 6 minutes.)
Step-by-step explanation:
10 every 30 minutes means about one call every 3 minutes so in 6 minutes they should recieve 2 calls
Simplify the expression.
(5)10 - (5)13
O-15
O-3
O 115
O2
Answer:
-15 is a answere
Step-by-step explanation:
According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule
5*10-5*13
50-65
-15
3-6(1 +n)
I don’t need the variable solve
Answer:
-6n -3
Step-by-step explanation:
I'm assuming that if you don't need the variable solved, then you need it converted? here's another form.
during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent of them have the flu ?
Answer:
16% of the Students
Step-by-step explanation:
[tex]\frac{124}{775} * \frac{x}{100} \\124 * 100 = 12400\\12400 / 775 = 16\\x = 16\\\frac{124}{775} *\frac{16}{100} \\[/tex]
Evaluate f(-2) for the function f(x)= -1/2x^2 + x + 1
Answer:
f(-2) = -3
Step-by-step explanation:
[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]
Just plug in x = -2
[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]
[tex]f(-2)=-\frac{1}{2} (4) -1[/tex]
4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.
[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]
[tex]f(-2)=-\frac{4}{2} -1[/tex]
[tex]f(-2)=-2-1[/tex]
[tex]f(-2)=-3[/tex]
Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.
Answer:
y = -7/4
Step-by-step explanation:
To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $600. One
month later, you get the guitar back by paying the pawnbroker $1170. What annual interest rate did you pay?
You will pay a simple interest rate of %
(Round to the nearest whole number as needed.)
Answer:
51% (596.7) or 52% (608.4)
Step-by-step explanation:
1170 multiply by 51% or 52% and you will get as close as you can to 600. I hope this can help. I am sorry If I got it wrong or misunderstood. :) Have a nice day!
If tanx =√24 and cosx =−2√23, find sinx.
Answer:
Step-by-step explanation:
sin(x)=cos(x) × tan(x)
=(-2√23)×(√24)
=(-2√23)×(2√6)
=(-4√138)
=(-4(2√(3×23)))
=(-8√69)
One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor.
Answer:
No.
Step-by-step explanation:
If they are scaled versions of each other then the ratio of corresponding sides would be equal.
11/2 = 5.5
37/7 = 5.29
So they are not scaled versions
Answer:
no
Step-by-step explanation:
What is the image point of (-4,-3)(−4,−3) after a translation left 1 unit and down 2 units?
9514 1404 393
Answer:
(-5, -5)
Step-by-step explanation:
After adding (-1, -2) to the coordinates, the image point is ...
(-4, -3) +(-1, -2) = (-5, -5)
Help! Got it wrong after trying first time and need helppp !
We are given the equation:
DA - 2qA = B³
Taking 'A' common on the LHS
A(D - 2q) = B³
Dividing both sides by (D - 2q)
A = B³ / (D - 2q)
What is the greatest common factor of 42 and 81?
Answer:
3
Step-by-step explanation:
42 is 2 x 3 x 7
81 is 3 x 3 x 3 x 3
3 is the greatest common factor
Answer:
3
Step-by-step explanation:
3 is the greatest common factor of 42 and 81
If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?
a.2 2/3 tablespoons
b.4 1/2 tablespoons
c.3 1/3 tablespoons
d.4 1/3 tablespoons
que es la geometria
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN
Answer:
68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
An airline tracks data on its flight arrivals. Over the past six months, 65 flights on one route arrived early, 273 arrived on time, 218 were late, and 44 were cancelled. What is the probability that a flight is early
Answer:
0.108
Step-by-step explanation:
Given that:
Number of flights reached early = 65
Number of flights reached on time = 273
Number of flights reached late = 218
Number of flights canceled = 44
To find:
The probability that a flight is early.
Solution:
First of all, let us have a look at the formula for probability of an event E.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, Event E is that the flight is early.
Number of favorable cases is equal to the number of a flights which reached early i.e. 65
Total number of cases is the total number of flights.
i.e. 65 + 273 + 218 + 44 = 600
So, the required probability is:
[tex]P(E) = \dfrac{65}{600} = \bold{0.108}[/tex]
Is this table proportional?
Answer:
yes it is
Step-by-step explanation:
pls give brainlest almost lvled up
Answer:
I believe that this is not.
It is not proportional.
Aria is buying refreshments for a birthday party. She intends to get an ice cream cake for $23
and some cupcakes for $2 each. Aria has a $45 budget but does not have to spend the entire
amount. Which inequality best represents the number of cupcakes, C, that Aria can purchase?
Answer:
11
Step-by-step explanation:
Answer:
$2c ≤ $45
I believe this is the right inequality.
What is the probability that the winner of the race (the fastest one of the four runners) will come from Team 2?
Answer:
B what is the probability that the winner of the race ... that the winner of the race (the fastest one of the four runners) will come from Team 1? ... Setting λ 1 = 19 / 90 and λ 2 = 5 / 24 we have, P ( X 1 < X 2 ) = Z ∞ 0 Z ∞ x 1 f X 1 ( x 1 ) f X 2 ( x 2 ) ...
Step-by-step explanation:
hope this helps
jshsmsnsksskjs landmarks sksnsn
Answer:
sknsonsknsknsknskdnksndksn?
Ms. Hodge receives 20 phone calls every 60 minutes. How many calls will she expect to receive in 180 minutes?
Ms. Hodge will expect to receive _____ phone calls in 180 minutes.
Answer:
60
Step-by-step explanation:
20 calls / 60 minutes
x calls / 180 minutes
60 x 3 = 180 minutes
20 x 3 = 60 calls
Answer:
Ms hodge will expect to receive 60 phone calls in 180 minutes.
Step-by-step explanation:
180 divided by 60 is 3
3x20= 60
Ms hodge will expect to receive 60 phone calls in 180 minutes.
It costs 11$ for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answer:
Each granola bar costs $0.73.
Step-by-step explanation:
11/15 = 0.73
I need help with this